Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan · leaf 80
ct. For instance theaccompanying figure, representing a closed network in threedimensions of 15 lines formed by the sides of two pentagonsand the lines joining their corresponding angular points,cannot be coloured as described by Tait. If the figure is inthree dimensions, the lines intersect only… … the lines is not regarded as such a vertex. Expressed in tech-nical language the difficulty is this. Petersen* has shown thata graph (or network) of the 2nth. order and third degree andwithout offshoots {or fetiilles) can be resolved into three graphsof the 2nth order and each of the first degree,…
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